Atkin-Lehner |
2+ 3- 5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bg |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1378642428887040 = -1 · 216 · 37 · 5 · 192 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,396,1786320] |
[a1,a2,a3,a4,a6] |
j |
9407293631/1891141877760 |
j-invariant |
L |
3.046630940529 |
L(r)(E,1)/r! |
Ω |
0.38082890924264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610bg1 |
Quadratic twists by: -3 |